References
- Gibbons JD, Chakraborti S. Nonparametric statistical inference. 5th ed. Boca Raton: Chapman & Hall/CRC; 2011.
- Hettmansperger TP, McKean JW. Robust nonparametric statistical methods. Boca Raton: CRC Press; 2010.
- Rosner B, Glynn RJ, Lee MLT. The Wilcoxon signed rank test for paired comparisons of clustered data. Biometrics. 2006;62:185–192.
- Rosenblatt JD, Benjamini Y. On mixture alternatives and Wilcoxon's signed rank test. Amer Statist. 2018;72:344–347.
- Benavoli A, Corani G, Mangili F, et al. A Bayesian Wilcoxon signed-rank test based on the Dirichlet process. PMLR. 2014;32:1026–1034.
- Chechile RA. A Bayesian analysis for the Wilcoxon signed-rank statistic. Comm Statist Theory Methods. 2018;47(21):5241–5254.
- Policello GE, Hettmansperger TP. Adaptive robust procedures for the one-sample location problem. J Amer Statist Assoc. 1976;71:624–633.
- Daniels HE. Saddlepoint approximations in statistics. Ann Math Statist. 1954;25:631–650.
- Butler RW. Saddlepoint approximations with applications. Cambridge: Cambridge University Press; 2007.
- Easton GS, Ronchetti E. General saddlepoint approximations with applications to L statistics. J Amer Statist Assoc. 1986;81:420–430.
- Daniels HE. Tail probability approximations. Int Statist Rev. 1987;55:37–48.
- Goutis C, Casella G. Explaining the saddlepoint approximation. Amer Statist. 1999;53:216–224.
- Huzurbazar S. Practical saddlepoint approximations. Amer Statist. 1999;53:225–232.
- Jensen JL. Saddlepoint approximations. New York: Oxford University Press; 1995.
- Kolassa JE. Series approximation methods in statistics. New York: Springer-Verlag; 2006.
- Reid N. Saddlepoint methods and statistical inference (with discussion). Statist Sci. 1988;3:213–238.
- Froda S, van Eeden C. A uniform saddlepoint expansion for the null-distribution of the Wilcoxon-Mann-Whitney statistic. Canad J Statist. 2000;28:137–149.
- Bean R, Froda S, van Eeden C. The normal, Edgeworth, saddlepoint and uniform approximations to the Wilcoxon–Mann–Whitney null-distribution: a numerical comparison. J Nonparametr Stat. 2004;16:279–288.
- Jurečková J, Picek J, Schindler M. Robust statistical methods with R. 2nd ed. Boca Raton: Chapman & Hall/CRC; 2019.
- Lehmann EL, Romano JP. Testing statistical hypotheses. 3rd ed. New York: Springer; 2005.
- Amrhein P. An example of a two-sided Wilcoxon signed rank test which is not unbiased. Ann Inst Statist Math. 1995;47:167–170.
- Lugannani R, Rice SO. Saddlepoint approximation for the distribution of the sum of independent random variables. Adv Appl Probab. 1980;12:475–490.
- Hogg RV. Adaptive robust procedures: A partial review and some suggestions for future applications and theory. J Amer Statist Assoc. 1974;69:909–927.
- Randles RH, Hogg RV. Adaptive distribution-free tests. Comm Statist. 1973;2:337–356.
- Büning H. Kolmogorov-Smirnov- and Cramér-von Mises type two-sample tests with various weight function. Comm Statist Simulation Comput. 2001;30:847–865.